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4102123320 = 23325103110629
BaseRepresentation
bin1111010010000001…
…0110111100111000
3101120212212110022100
43310200112330320
531400120421240
61515014423400
7203440321131
oct36440267470
911525773270
104102123320
1118155a5a69
12965961b60
13504b29809
142acb38c88
151901e8e30
hexf4816f38

4102123320 has 96 divisors (see below), whose sum is σ = 13461458400. Its totient is φ = 1083269376.

The previous prime is 4102123279. The next prime is 4102123339. The reversal of 4102123320 is 233212014.

4102123320 is a `hidden beast` number, since 410 + 2 + 1 + 233 + 20 = 666.

4102123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4102123293 and 4102123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18235 + ... + 92394.

It is an arithmetic number, because the mean of its divisors is an integer number (140223525).

Almost surely, 24102123320 is an apocalyptic number.

4102123320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730729200).

4102123320 is an abundant number, since it is smaller than the sum of its proper divisors (9359335080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102123320 is a wasteful number, since it uses less digits than its factorization.

4102123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110749 (or 110742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4102123320 is about 64047.8205718196. The cubic root of 4102123320 is about 1600.7969103095.

Adding to 4102123320 its reverse (233212014), we get a palindrome (4335335334).

The spelling of 4102123320 in words is "four billion, one hundred two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 37080 110629 221258 331887 442516 553145 663774 885032 995661 1106290 1327548 1659435 1991322 2212580 2655096 3318870 3982644 4425160 4978305 6637740 7965288 9956610 11394787 13275480 19913220 22789574 34184361 39826440 45579148 56973935 68368722 91158296 102553083 113947870 136737444 170921805 205106166 227895740 273474888 341843610 410212332 455791480 512765415 683687220 820424664 1025530830 1367374440 2051061660 4102123320